As a practical matter, mathematics is a science of pattern and order. Its domain is not molecules or cells, but numbers, chance, form, algorithms, and change. As a science of abstract objects, mathematics relies on logic rather than on simulation, and even experimentation as means of discovering truth.
Mathematical Sciences Education Board, (1989)
Making Sense of Mathematics
Problem based mathematics rest on a foundation of a fundamental core of effective teaching. Understanding how students learn, how to promote that learning by teaching through the problem solving strategies, and how to assess that learning on a daily basis are crucial to student centered mathematics. All workshops are based on NCTM’s Principles and Standards for School Mathematics. Teaching mathematics can be an exciting journey. The most exciting part may be that you–the teacher–will grow and learn right along with your students! Enjoy the adventure.
Basic to all mathematics instruction is that Math Makes Sense! In John A. Van de Walle’s text, Elementary and Middle School Mathematics, he introduces the following basic ideas of making sense of math:
- Every day students must experience that mathematics makes sense.
- Students must come to believe that they are capable of making sense of mathematics.
- Teachers must stop teaching by telling and start letting students make sense of the mathematics they are learning.
- Teachers must believe in their students–all of them!
The teacher’s job is to create a spirit of inquiry, trust and expectation. Problems are posed and students work toward the solutions. The focus is on students actively figuring things out, testing ideas, and making conjectures, developing reasons and offering explanations. Students work individually, in pairs, in groups, but they are always sharing and talking. Reasoning is celebrated as students defend their methods and justify their answers.
Marsha’s workshops include
- Problem Solving Power
- Hands-On, Student-Centered Mathematics Strategies
- Strategies for Students Struggling with math
- Teaching the Language of Math
- Using Math Models to Teach Mathematic Concepts
Call Marsha at 806.655.0774 or email her at ConsiderThis@MarshaClements.com to discuss the needs of your school and how Marsha can help your teachers provide excellence in mathematics instruction.
